101001000810001 has 2 divisors, whose sum is σ = 101001000810002. Its totient is φ = 101001000810000.

The previous prime is 101001000809957. The next prime is 101001000810053. The reversal of 101001000810001 is 100018000100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100706342915025 + 294657894976 = 10035255^2 + 542824^2 .

It is an emirp because it is prime and its reverse (100018000100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101001000810001 - 2²⁵ = 101000967255569 is a prime.

It is not a weakly prime, because it can be changed into another prime (101001000810091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500500405000 + 50500500405001.

It is an arithmetic number, because the mean of its divisors is an integer number (50500500405001).

Almost surely, 2^{101001000810001} is an apocalyptic number.

It is an amenable number.

101001000810001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001000810001 is an equidigital number, since it uses as much as digits as its factorization.

101001000810001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101001000810001 its reverse (100018000100101), we get a palindrome (201019000910102).

The spelling of 101001000810001 in words is "one hundred one trillion, one billion, eight hundred ten thousand, one".